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Hauptverfasser: Hocine, A., Merabtine, F., Hamil, B., Lütfüoğlu, B. C., Benarous, M.
Format: Preprint
Veröffentlicht: 2023
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2312.17585
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author Hocine, A.
Merabtine, F.
Hamil, B.
Lütfüoğlu, B. C.
Benarous, M.
author_facet Hocine, A.
Merabtine, F.
Hamil, B.
Lütfüoğlu, B. C.
Benarous, M.
contents We explore the phenomenon of Bose-Einstein condensation in two and one-dimensional Dunkl-boson gases confined within a power-law potential, employing the framework of Dunkl-deformed boson theory. Our investigation involves the calculation of particle numbers and phase transition temperatures using the Dunkl formalism. To assess the validity of our findings, we compare them with the corresponding results obtained from the standard approach. We find that the impact of the Dunkl-formalism on the condensate fractions is similar in one and two-dimensional cases. However, we see that this conclusion is not fully valid for the phase transition temperature.
format Preprint
id arxiv_https___arxiv_org_abs_2312_17585
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The Condensation of Ideal Dunkl-Bose Gas in Power-Law Traps
Hocine, A.
Merabtine, F.
Hamil, B.
Lütfüoğlu, B. C.
Benarous, M.
Quantum Gases
We explore the phenomenon of Bose-Einstein condensation in two and one-dimensional Dunkl-boson gases confined within a power-law potential, employing the framework of Dunkl-deformed boson theory. Our investigation involves the calculation of particle numbers and phase transition temperatures using the Dunkl formalism. To assess the validity of our findings, we compare them with the corresponding results obtained from the standard approach. We find that the impact of the Dunkl-formalism on the condensate fractions is similar in one and two-dimensional cases. However, we see that this conclusion is not fully valid for the phase transition temperature.
title The Condensation of Ideal Dunkl-Bose Gas in Power-Law Traps
topic Quantum Gases
url https://arxiv.org/abs/2312.17585